Q. If the temperature of an ideal gas is doubled at constant volume, what happens to its pressure?
A.
It halves
B.
It remains the same
C.
It doubles
D.
It quadruples
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Solution
According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume, so it doubles.
Correct Answer:
C
— It doubles
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Q. If the temperature of an ideal gas is doubled at constant volume, what happens to the average kinetic energy of the gas molecules?
A.
It remains the same.
B.
It doubles.
C.
It triples.
D.
It halves.
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Solution
The average kinetic energy of gas molecules is directly proportional to the absolute temperature. Therefore, if the temperature is doubled, the average kinetic energy also doubles.
Correct Answer:
B
— It doubles.
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Q. If the temperature of an ideal gas is doubled while keeping the pressure constant, what happens to its volume?
A.
It halves
B.
It doubles
C.
It remains the same
D.
It quadruples
Show solution
Solution
According to Charles's Law, at constant pressure, the volume of an ideal gas is directly proportional to its temperature. Therefore, if the temperature doubles, the volume also doubles.
Correct Answer:
B
— It doubles
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Q. If the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
A.
It remains the same.
B.
It doubles.
C.
It triples.
D.
It halves.
Show solution
Solution
According to Gay-Lussac's law, if the volume is constant, the pressure of an ideal gas is directly proportional to its absolute temperature. Therefore, doubling the temperature doubles the pressure.
Correct Answer:
B
— It doubles.
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Q. If the temperature of an object increases, what happens to the rate of heat radiation from that object?
A.
Decreases
B.
Increases
C.
Remains constant
D.
Becomes zero
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Solution
According to Stefan-Boltzmann law, the rate of heat radiation increases with the fourth power of the temperature, so as the temperature increases, the rate of radiation also increases.
Correct Answer:
B
— Increases
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Q. If the temperature of an object increases, what happens to the rate of heat transfer by radiation?
A.
Decreases
B.
Increases
C.
Remains constant
D.
Becomes zero
Show solution
Solution
The rate of heat transfer by radiation increases with the fourth power of the absolute temperature, according to Stefan-Boltzmann law.
Correct Answer:
B
— Increases
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Q. If the temperature of an object is doubled, how does its thermal radiation change according to the Stefan-Boltzmann law?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It increases eightfold
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Solution
According to the Stefan-Boltzmann law, if the temperature is doubled, the thermal radiation increases by a factor of 2^4 = 16, not quadruples.
Correct Answer:
B
— It quadruples
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Q. If the temperature of an object is doubled, how does the rate of heat radiation change?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
Show solution
Solution
According to the Stefan-Boltzmann law, if the temperature is doubled, the rate of heat radiation increases by a factor of 2^4 = 16.
Correct Answer:
B
— It quadruples
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Q. If the terms of a harmonic progression are 1, 1/4, and 1/9, what is the common difference of the corresponding arithmetic progression?
A.
1/36
B.
1/12
C.
1/9
D.
1/4
Show solution
Solution
The reciprocals are 1, 4, and 9. The common difference is 4 - 1 = 3.
Correct Answer:
B
— 1/12
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Q. If the terms of a harmonic progression are 3, 6, and x, what is the value of x?
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Solution
The reciprocals of the terms are 1/3, 1/6, and 1/x. Since they form an arithmetic progression, we can set up the equation: 1/6 - 1/3 = 1/x - 1/6, solving gives x = 12.
Correct Answer:
B
— 12
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Q. If the terms of a harmonic progression are 4, 2, and x, what is the value of x?
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Solution
The reciprocals are 1/4, 1/2, and 1/x. The common difference is 1/2 - 1/4 = 1/4, so 1/x = 1/2 + 1/4 = 3/4, thus x = 4/3.
Correct Answer:
D
— 3
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Q. If the torque is doubled while keeping the distance constant, what happens to the force applied?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Torque = Force × Distance; if Torque is doubled and Distance is constant, Force must also double.
Correct Answer:
A
— It doubles
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Q. If the torque on a rotating object is doubled while the radius remains constant, what happens to the force applied?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
If torque is doubled and radius remains constant, the force must also double to maintain the relationship τ = F × r.
Correct Answer:
A
— It doubles
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Q. If the torque on an object is zero, what can be said about the forces acting on it?
A.
The object is at rest.
B.
The net force is zero.
C.
The forces are balanced.
D.
The forces are acting along the same line.
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Solution
If the torque is zero, it means that the forces are acting along the same line, resulting in no rotational effect.
Correct Answer:
D
— The forces are acting along the same line.
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Q. If the torque on an object is zero, which of the following must be true?
A.
The net force is zero.
B.
The object is at rest.
C.
The forces are balanced.
D.
The line of action of the forces passes through the pivot.
Show solution
Solution
If the torque is zero, it means that the line of action of the forces passes through the pivot point.
Correct Answer:
D
— The line of action of the forces passes through the pivot.
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Q. If the total amount after 2 years is $1100 from a principal of $1000 at a compound interest rate of 5%, what is the interest earned?
A.
$100
B.
$110
C.
$120
D.
$150
Show solution
Solution
Interest Earned = Total Amount - Principal = 1100 - 1000 = 100.
Correct Answer:
A
— $100
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Q. If the total charge enclosed by a Gaussian surface is zero, what can be said about the electric field on that surface?
A.
It is zero everywhere
B.
It can be non-zero
C.
It is constant
D.
It is infinite
Show solution
Solution
If the total charge enclosed is zero, the electric field can still be non-zero at points on the surface due to external charges.
Correct Answer:
B
— It can be non-zero
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Q. If the total current in an AC circuit is 5A and the voltage is 120V, what is the impedance? (2023)
A.
24Ω
B.
20Ω
C.
30Ω
D.
15Ω
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Solution
Impedance (Z) = Voltage (V) / Current (I) = 120V / 5A = 24Ω.
Correct Answer:
B
— 20Ω
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Q. If the total energy of a simple harmonic oscillator is 50 J and the mass is 2 kg, what is the maximum speed of the mass?
A.
5 m/s
B.
10 m/s
C.
15 m/s
D.
20 m/s
Show solution
Solution
Total energy (E) = (1/2)m(v_max)^2. Solving for v_max gives v_max = sqrt(2E/m) = sqrt(2*50/2) = 10 m/s.
Correct Answer:
B
— 10 m/s
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Q. If the total expenditure of the Parliament is 100 crores and 30% is spent on salaries, how much is spent on salaries?
A.
30 crores
B.
25 crores
C.
20 crores
D.
35 crores
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Solution
Expenditure on salaries = 30% of 100 crores = 0.3 * 100 = 30 crores.
Correct Answer:
A
— 30 crores
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Q. If the total expenses are $5000, what is the percentage spent on Marketing?
A.
10%
B.
15%
C.
20%
D.
25%
Show solution
Solution
Marketing expenses are $1000, which is 1000/5000 * 100 = 20%.
Correct Answer:
C
— 20%
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Q. If the total expenses are 1500, what is the profit if total sales are 2000?
A.
300
B.
400
C.
500
D.
600
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Solution
Profit is calculated as total sales (2000) minus total expenses (1500), which equals 500.
Correct Answer:
C
— 500
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Q. If the total impedance in an AC circuit is 20Ω and the current is 2A, what is the voltage across the circuit? (2023)
A.
10V
B.
20V
C.
30V
D.
40V
Show solution
Solution
Using Ohm's law, V = IZ = 2A * 20Ω = 40V.
Correct Answer:
B
— 20V
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Q. If the total number of members in a parliament is 545 and 20% of them are women, how many women are there in the parliament? (2021)
A.
100
B.
110
C.
120
D.
130
Show solution
Solution
20% of 545 = 0.20 * 545 = 109. Therefore, the closest option is 110.
Correct Answer:
B
— 110
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Q. If the total number of members in the Lok Sabha is 545 and 20% of them are women, how many women are there in the Lok Sabha?
A.
100
B.
109
C.
110
D.
120
Show solution
Solution
20% of 545 = 0.20 * 545 = 109 women.
Correct Answer:
B
— 109
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Q. If the total number of members in the Lok Sabha is 545 and the number of members from the Scheduled Castes is 84, what percentage of the Lok Sabha members are from the Scheduled Castes?
A.
15.4%
B.
16.5%
C.
14.5%
D.
18.0%
Show solution
Solution
Percentage of Scheduled Castes = (84/545) * 100 = 15.4%
Correct Answer:
A
— 15.4%
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Q. If the total number of members in the Lok Sabha is 545 and the number of women members is 78, what percentage of the Lok Sabha members are women?
A.
14.3%
B.
15.5%
C.
16.7%
D.
17.8%
Show solution
Solution
Percentage of women members = (78/545) * 100 = 14.3%
Correct Answer:
A
— 14.3%
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Q. If the total number of members in the Parliament is 790 and the Lok Sabha has 545 members, how many members are in the Rajya Sabha? (2021)
A.
245
B.
250
C.
300
D.
200
Show solution
Solution
Total members in Parliament = 790. Members in Lok Sabha = 545. Therefore, members in Rajya Sabha = 790 - 545 = 245.
Correct Answer:
A
— 245
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Q. If the total number of members in the Parliament is 790 and the number of Lok Sabha members is 545, how many members are there in the Rajya Sabha?
A.
245
B.
250
C.
300
D.
200
Show solution
Solution
Total members in Parliament = 790; Lok Sabha members = 545; Rajya Sabha members = 790 - 545 = 245.
Correct Answer:
A
— 245
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Q. If the total number of members in the Parliament is 790 and the number of Lok Sabha members is 545, how many Rajya Sabha members are there?
A.
245
B.
250
C.
300
D.
200
Show solution
Solution
Total members in Parliament = 790. Lok Sabha members = 545. Rajya Sabha members = 790 - 545 = 245.
Correct Answer:
A
— 245
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